Let's divide 137088 by 78
Our goal is to divide 137088 by 78.

Advancing to step 1:
If we divide 1 by 78, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 78

Moving on to step 2:
78 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 78

On to step 3:
78 can be fit into 137 1 times, resulting in a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 78 from 137 to get 59.
Grab the next digit (0) from the dividend, add it to 59, then carry on: 590 / 78

Advancing to step 4:
The number 78 fits into 590 7 times, leaving a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 546 from 590 and we're left with 44.
Grab the next digit (8) from the dividend, add it to 44, then carry on: 448 / 78

Going ahead to step 5:
If we divide 448 by 78, we get 5 and a remainder of 58.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Deduct 390 from 448 and we're left with 58.
Append the next digit (8) from the dividend to 58 and continue with: 588 / 78

Let's proceed to step 6:
588 divided by 78 is 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 1757.0
If we take 546 away from 588, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1757.5
If we take 390 away from 420, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
78 goes into 300 3 times with a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 1757.53
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
78 goes into 660 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 1757.538
If we subtract 624 from 660, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 1757.5384
The remainder is 48 after subtracting 312 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 11:
78 goes into 480 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 1757.53846
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
If we divide 120 by 78, we get 1 and a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1757.538461
If we subtract 78 from 120, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
78 can be fit into 420 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1757.5384615
Subtracting 390 from 420 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 14:
When dividing 300 by 78, we get 3 with a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 1757.53846153
Subtract 234 from 300 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final outcome is 1757.53846153, with a leftover of 6.6e-08.